Greatest Common Factor of 873/214, 5034/7459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 873/214, 5034/7459

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 873/214,5034/7459

Given fractions are 873/214,5034/7459

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 873,5034

Greatest Common Factor of Numerators i.e. GCF of 873,5034 is 3 .

LCM of Denominators means LCM of 214,7459 as per the given fractions.

LCM of 214,7459 is 1596226 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 873,5034

GCF of Fractions 873/214,5034/7459 is 3/1596226

3 873, 5034
291, 1678

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 873,5034 By Matching Biggest Common Factor Method

Greatest Common Factor of 873,5034 By Matching Biggest Common Factor Method

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Factors of 5034

List of positive integer factors of 5034 that divides 5034 without a remainder.

1,2,3,6,839,1678,2517,5034

Greatest Common Factor

We found the factors 873,5034 . The biggest common factor number is the GCF number.
So the greatest common factor 873,5034 is 3.

Lets's calculate LCM of 214,7459

Given numbers has no common factors except 1. So, there LCM is their product i.e 1596226

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1596226

Therefore, the GCF of Fractions 873/214,5034/7459 is 3/1596226

Least Common Multiple of 214,7459 with GCF Formula

Least Common Multiple of 214,7459 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 214,7459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,7459) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(214,7459) x common factors =1 x 1 = 1

LCM(214,7459) = ( 214 × 7459 ) / 1

LCM(214,7459) = 1596226 / 1

LCM(214,7459) = 1596226


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 873/214, 5034/7459

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 873/214, 5034/7459?

Answer: GCF of Numerators as per given numbers 873/214, 5034/7459 is

GCF of Numerators i.e. for 873,5034 is 3

LCM of denominators i.e. for 214,7459 is 1596226.

Thus, GCF of Fractions is 3/1596226.Finally, GCF of Fractions for 873/214, 5034/7459 is 3/1596226.